A balloon is moving up in air vertically above a point \( A \) on the ground. When it is at a he...
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0A balloon is moving up in air vertically above a point \( A \) on the ground. When it is at a height \( h_{1} \), a girl standing at a distance \( d \) (point \( B \) ) from \( A \) (see figure) sees it at an angle \( 45^{\circ} \) with respect to the vertical. When the balloon climbs up a further height \( h_{2} \), it is seen at an angle \( 60^{\circ} \) with respect to the vertical if the girl moves further by a distance \( 2.464 d \) (point \( C \) ). Then the height \( h_{2} \) is (given \( \tan 30^{\circ}=0.5774 \) )
(a) \( d \)
(b) \( 0.732 d \)
(c) \( 1.464 d \)
(d) \( 0.464 d \)
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